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Using binomial theorem, prove that 3^(2n...

Using binomial theorem, prove that `3^(2n+2)-8^n-9` is divisible by `64` , where `n in Ndot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. The value of term independent of x in (sqrt(x)+a/(x^2))^(10) is .

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  2. If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 67...

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  3. Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 ...

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  4. For what value of x is the ninth term in the expansion of (3^(log3 sqr...

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  5. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

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  6. If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1...

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  7. If the coefficient of (2r+4)th and (r-2)th terms in the expansion of ...

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  8. Find the value of alpha for hich the coefficients of the middle terms ...

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  9. If the term free form x in the expansion of (sqrt(x)-m/(x^(2)))^(10) i...

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  10. Find the 5th term in the expansion of (1+x^2)^12

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  11. Find the 2nd term in the expansion of (1+x)^12

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  12. Find the total number of the terms in expansion of (1-3x+3x^2-x^3)^8do...

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  13. Find the 111th term in the expansion of (1+3x)^111.

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  14. Find the number of terms in the expansion of (a+b)^8dot

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  15. Write last two digits of the number 3^(400)dot

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  16. Find the total number of terms in the expansion of (x^(3/2)+x^(1/2))^(...

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  17. If n is a positive integer, find the coefficient of x^(-1) in the expa...

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  18. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

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  19. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

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  20. Find the number of terms in the expansions of the following: (2x-3y)^9

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